Physics - Wave on String Question with Solution | TestHub

The phase difference is given as $\Delta \varphi =60^{\circ }=\frac{\pi }{3}$ radians.

The relation between phase difference and path difference is $\Delta \varphi =\frac{2\pi }{\lambda }\Delta x$.

Substituting the given values, we get $\frac{\pi }{3}=\frac{2\pi }{\lambda }x$.

Solving for wavelength, $\lambda =6x$.

The velocity of the wave is given by $v=n\lambda$.

Substituting $\lambda =6x$, we get $v=6nx$.

Answer: $6nx$